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Finding the Third Proportional to 350,802 and 546,736

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Solution

The third proportional to 350,802 and 546,736 is: 852,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,802 : 546,736 = 546,736 : x
  2. Step 2: Convert to fraction form
    350,802/546,736 = 546,736/x
  3. Step 3: Cross multiply
    350,802x = 546,736 × 546,736
  4. Step 4: Simplify right side
    350,802x = 298,920,253,696
  5. Step 5: Solve for x
    x = 298,920,253,696/350,802
  6. Step 6: Final answer
    x = 852,105.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.